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Mathematical Problems in Engineering
Volume 2013, Article ID 794734, 17 pages
Research Article

Analytical and Semianalytical Treatment of the Collinear Points in the Photogravitational Relativistic RTBP

1Department of Applied Mathematics, Faculty of Applied Science, Taibah University, Al-Madinah, Saudi Arabia
2Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
3Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah, Saudi Arabia
4Department of Astronomy, Faculty of Science, Cairo University, Cairo 12613, Egypt

Received 22 April 2013; Accepted 24 July 2013

Academic Editor: Alexander P. Seyranian

Copyright © 2013 S. E. Abd El-Bar and F. A. Abd El-Salam. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The problem of restricted three bodies is considered. The treatment is carried out within the framework of the post-Newtonian approximation. The primaries also are assumed to be radiant sources. The locations of the collinear points are computed. Series forms of these locations are obtained as new results. A Mathematica program is constructed so as to draw the locations of collinear points versus the whole range of the mass ratio taking into account the photo-gravitational effects and/or the relativistic corrections. Analyses of these figures are addressed.